Banach and Hilbert Spaces

Paul H. Bezandry () and Toka Diagana ()
Additional contact information
Paul H. Bezandry: Howard University, Department of Mathematics
Toka Diagana: Howard University, Department of Mathematics

Chapter Chapter 1 in Almost Periodic Stochastic Processes, 2011, pp 1-20 from Springer

Abstract: Abstract Banach and Hilbert spaces play a key role in functional analysis. This chapter provides the reader with a detailed account of properties of Banach and Hilbert spaces. Various examples of Banach and Hilbert spaces are also discussed, among them are quotient spaces, $$L^p(\mathcal{O})$$ spaces, $$BC(\mathbb{R}, \mathcal{B})$$ spaces, Hölder spaces $$C^{\alpha}(J, \mathcal{B})$$ , and Sobolev spaces $$W^{k, p}(\mathcal{O})$$ .

Keywords: Hilbert Space; Banach Space; Vector Space; Sobolev Space; Cauchy Sequence (search for similar items in EconPapers)
Date: 2011
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4419-9476-9_1

Ordering information: This item can be ordered from
http://www.springer.com/9781441994769

DOI: 10.1007/978-1-4419-9476-9_1

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().